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Finding the Fourth Proportional to 378,715.86, 522,451.76 and 225,668.16

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Solution

The fourth proportional to 378,715.86, 522,451.76 and 225,668.16 is: 311,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,715.86 : 522,451.76 = 225,668.16 : x
  2. Step 2: Convert to fraction form
    378,715.86/522,451.76 = 225,668.16/x
  3. Step 3: Cross multiply
    378,715.86x = 522,451.76 × 225,668.16
  4. Step 4: Simplify right side
    378,715.86x = 117,900,726,239.62
  5. Step 5: Solve for x
    x = 117,900,726,239.62/378,715.86
  6. Step 6: Final answer
    x = 311,317.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.